There is a factoring that is easier than FOIL and that is called the GCF or the Greatest Common Factor. The greatest common factor is a number that divisible by a set of numbers. For instance, the gcf of 12 and 18 is 6 because 12/6 = 2 and 18/6 = 3.
Well, what if there isn’t any coefficients? What if there is only variables and exponents? The same rules apply. For example, if I were to find the greatest common factor between x^3 and x^2, I must factor each term and eliminate my Xs.
ex. x^3= x* x* x and x^2 = x * x
eliminate x*x*x and x*x
The greatest common factor between these two terms is x^2.
Remember the factor BOX that Ms. Umeh showed in class?
First box: first term
Second box: second term
Third box: third term
If your middle term is a negative, your operations when you factor must also be negative. If your last term is negative, then your operations must be addition and subtraction.
If you need additional help, come to lunch tutoring.